7th Grade Math (Math 7) · Chapter 7 · Lesson 7.4 · Printable PDF

Scale Factor, Area and Volume Worksheet with Answer Key

8 problems on scale factor, area and volume: area and volume factors, finding the scale factor from an area or volume factor, a sign made of panels, a city park plan, enlarged designs, signs, a sand tower, and wrapping soap. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Scale factor, area and volume worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the area factor and volume factor for each scale factor.
    k = 5k = \dfrac{1}{2}k = 0.2k = \dfrac{2}{3}k = 1.5
  2. Find the scale factor k from each area or volume factor.
    area × 36area \times\, \dfrac{1}{25}volume × 125volume \times\, \dfrac{1}{8}area × 2.25
  3. Word problem: a large triangular sign made of small triangular panels.
  4. Word problem: the park's area on a plan at 1 to 500.
  5. Word problem: the area of designs enlarged one after another.
  6. Compare the areas of two enlarged versions of Amara's sign.
  7. Word problem: a bigger sand tower's weight and pressure on its base.
  8. Word problem: wrapper paper for two sizes of soap bar.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Scale factor, area and volume: the lesson ›

More Chapter 7 worksheets: Scale drawings